240221520 has 360 divisors, whose sum is σ = 1025425440. Its totient is φ = 49835520.

The previous prime is 240221489. The next prime is 240221533. The reversal of 240221520 is 25122042.

240221520 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×240221520² = 115412757342220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240221493 and 240221502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387771 + ... + 388389.

It is an arithmetic number, because the mean of its divisors is an integer number (2848404).

Almost surely, 2^240221520 is an apocalyptic number.

240221520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512712720).

240221520 is an abundant number, since it is smaller than the sum of its proper divisors (785203920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240221520 is a wasteful number, since it uses less digits than its factorization.

240221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 240221520 is about 15499.0812630943. The cubic root of 240221520 is about 621.6376407691.

Adding to 240221520 its reverse (25122042), we get a palindrome (265343562).

The spelling of 240221520 in words is "two hundred forty million, two hundred twenty-one thousand, five hundred twenty".